36504806400 has 792 divisors, whose sum is σ = 142549804800. Its totient is φ = 8891596800.

The previous prime is 36504806357. The next prime is 36504806407. The reversal of 36504806400 is 460840563.

36504806400 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 4 + 8 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36504806407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135705466 + ... + 135705734.

Almost surely, 2^36504806400 is an apocalyptic number.

36504806400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36504806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71274902400).

36504806400 is an abundant number, since it is smaller than the sum of its proper divisors (106044998400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36504806400 is a wasteful number, since it uses less digits than its factorization.

36504806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36504806400 in words is "thirty-six billion, five hundred four million, eight hundred six thousand, four hundred".